cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A352227 Number of length-n blocks in the Thue-Morse sequence with intertwining pattern AB AB AB... .

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%I A352227 #9 Mar 08 2022 11:35:24
%S A352227 0,2,2,4,4,6,8,8,8,10,12,14,16,16,16,16,16,18,20,22,24,26,28,30,32,32,
%T A352227 32,32,32,32,32,32,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,
%U A352227 64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,66,68
%N A352227 Number of length-n blocks in the Thue-Morse sequence with intertwining pattern AB AB AB... .
%C A352227 The intertwining pattern is the list of consecutive occurrences of a block x and its binary complement x' in the Thue-Morse sequence A010060, where A codes an occurrence of x and B codes an occurrence of x'.
%H A352227 J. Shallit, <a href="https://arxiv.org/abs/2203.02917">Intertwining of Complementary Thue-Morse Factors</a>, arxiv preprint arXiv:2203.02917 [cs.FL], March 6 2022.
%F A352227 For n>=2, a(n) = 2*A006165(n-1).
%e A352227 For n = 4, the four length-four blocks with intertwining pattern ABABAB... are 0110, 1101, 1010, 0100.
%Y A352227 Cf. A006165, A010060.   Related to A352228.
%K A352227 nonn
%O A352227 1,2
%A A352227 _Jeffrey Shallit_, Mar 08 2022